The Generalized Burr XII Power Series Distributions with Properties and Applications

Ibrahim Elbatal, Emrah Altun (), Ahmed Z. Afify and Gamze Ozel
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Ibrahim Elbatal: Imam Muhammad Ibn Saud Islamic University
Emrah Altun: Bartin University
Ahmed Z. Afify: Benha University
Gamze Ozel: Hacettepe University

Annals of Data Science, 2019, vol. 6, issue 3, No 10, 597 pages

Abstract: Abstract We define and study a new family of distributions, called generalized Burr XII power series class, by compounding the generalized Burr XII and power series distributions. Several properties of the new family are derived. The maximum likelihood estimation method is used to estimate the model parameters. The importance and potentiality of the new family are illustrated by means of three applications to real data sets.

Keywords: Generalized Burr XII distribution; Geometric distribution; Maximum likelihood estimation; Moments; Power series distribution (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s40745-018-0171-2

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